Any problem can be simply defined as some form of opposing forces. This can be a direct conflict between opposing movement of matter or energy. It can also be an opposition of intent to discover and obscurity. With simple conflict, there is almost always some point of view where the conflict disappears, even if the only point of view that offers that solution is found using many dimensions. Matter is an apparency with more space between atoms and electrons than their ambiguous “particles” occupy. With the correct “arrangement” it might be possible for two objects of “matter” to pass through each other.

The same principles operate in the puzzle solving form of problems. Solutions that have been previously obscured often become obvious when point of view is rotated or changed. The most dramatic form of this comes when the point of view is inverted. That means it’s turned inside out, not just rotated by 180 degrees. A classic example of this is Copernicus declaring the planets orbit the Sun instead of the Sun and planets orbiting Earth.

Problem solving should always explore rotations and other shifts in point of view. But when these do not produce new insights, the shifting process needs to also explore changes in the basic dimensional framework being used and then apply the rotation and shifts against the new background.